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saul85 [17]
3 years ago
5

Find the exact value of each expression . Do not use a calculator .

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0
The attached table is one that it is convenient for you to memorize as long as you're taking courses involving angles. For the inverse functions, find the column corresponding to the function, then look for the value in that column. The angle at the beginning of that row is the answer to your question.

8. \cos^{-1}(0)= 90^{\circ}=\dfrac{\pi}{2}

9. \sin^{-1}(1)= 90^{\circ}=\dfrac{\pi}{2}

10. \tan^{-1}\left( \dfrac{\sqrt{3}}{3} \right)=30^{\circ}=\dfrac{\pi}{6}

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What is the product? x^2-16/2x+8 multiplied by x^3-2x^2+x/x^2+3x-4
Contact [7]

Answer:

(x (x - 4) (x - 1))/(2 (x + 4))

Step-by-step explanation:

Simplify the following:

((x^2 - 16) (x^3 - 2 x^2 + x))/((2 x + 8) (x^2 + 3 x - 4))

The factors of -4 that sum to 3 are 4 and -1. So, x^2 + 3 x - 4 = (x + 4) (x - 1):

((x^2 - 16) (x^3 - 2 x^2 + x))/((x + 4) (x - 1) (2 x + 8))

Factor 2 out of 2 x + 8:

((x^2 - 16) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

x^2 - 16 = x^2 - 4^2:

((x^2 - 4^2) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):

((x - 4) (x + 4) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

Factor x out of x^3 - 2 x^2 + x:

(x (x^2 - 2 x + 1) (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

The factors of 1 that sum to -2 are -1 and -1. So, x^2 - 2 x + 1 = (x - 1) (x - 1):

(x (x - 1) (x - 1) (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

(x - 1) (x - 1) = (x - 1)^2:

(x (x - 1)^2 (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

((x - 4) (x + 4) x (x - 1)^2)/(2 (x + 4) (x + 4) (x - 1)) = (x + 4)/(x + 4)×((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)) = ((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)):

(x (x - 4) (x - 1)^2)/(2 (x + 4) (x - 1))

Cancel terms. ((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)) = ((x - 4) x (x - 1)^(2 - 1))/(2 (x + 4)):

(x (x - 4) (x - 1)^(2 - 1))/(2 (x + 4))

2 - 1 = 1:

Answer: (x (x - 4) (x - 1))/(2 (x + 4))

5 0
3 years ago
Read 2 more answers
How do i write 3.6 in word form
Oduvanchick [21]
Three and six tenths. The decimal point is always expressed as "and." the digit after the decimal point is always expressed by tenths.
7 0
3 years ago
Read 2 more answers
Dreakfast cereal will cost. C TOw any learners can a school enrol if there are 12 teachere ratio of learners to teachers is 30:1
rodikova [14]

Answer:

20 teachers

Step-by-step explanation:

plato ofc

7 0
2 years ago
Heather Johnson bought a new set of tires for $436.00 and a car seat for $22.85. The state tax rate is 6%, the county tax rate i
Papessa [141]

Answer:

$495.56

Step-by-step explanation:

Tax increases the price paid for a good or service. So, the total price paid for the goods would increase by the total amount of tax

Sum of the three taxes = 6% + 1.5% + 0.5% = 8%

Total cost of items purchased = $436 + $22.85 = $485.85

Total purchase price = Total cost of items purchased x (1 + total tax)

$485.85 x (1.08) = $495.56

5 0
3 years ago
What's the surface area?<br><br>(EXPLAIN YOUR ANSWER)
dedylja [7]
714,110ft



Hope this helpsss
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3 years ago
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